Strength of Correlation — Unit test Answers

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1
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A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers.

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A
The mean will increase, and the median will stay the same.
B
The median will increase, and the mean will stay the same.
C
The mean will increase more than the median, but both will increase.
D
The median will increase more than the mean, but both will increase.
2
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Which statements are true about the residual plot and the equation for the line of best fit for the data? Select two options..

A
The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
B
The equation for the line of best fit is a good approximation for the data because the points are random, having no pattern.
C
The residual plot has a linear pattern.
D
The points of the residual plot are spread evenly above and below the x-axis.
E
The residual plot has the pattern of a curve.
3

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

A
The median number of books to a box is 8.
B
The median number of books to a box is 9.
C
The mean number of books to a box is 11.
D
The mean number of books to a box is 12.
4

A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

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A
a = 18, b = 34, c = 65
B
a = 34, b = 18, c = 68
C
a = 34, b = 68, c = 47
D
a = 47, b = 18, c = 68
5

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

A
3.2 feet
B
4.8 feet
C
5.6 feet
D
6.8 feet
6

Consider the plot created from the residuals of a line of best fit for a set of data.

Question illustration
A
Yes, the points have no pattern.
B
No, the points are evenly distributed about the x-axis.
C
No, the points are in a linear pattern.
D
Yes, the points are in a curved pattern.
7

Which statements are true about the table? Select three options.

A
The data point for x = 1 is above the line of best fit.
B
The residual value for x = 3 should be a positive number because the data point is above the line of best fit.
C
Fiona made a subtraction error when she computed the residual value for x = 4.
D
The residual value for x = 2 should be a positive number because the given point is above the line of best fit.
E
The residual value for x = 3 is negative because the given point is below the line of best fit.
8

The table shows the shoe sizes of women of different ages.

Question illustration
A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
9

The table shows the average number of hours of daylight per day for the last four months of the year.

Question illustration
A
–0.993
B
–0.791
C
0.791
D
0.993
10

Find the residual values, and use the graphing calculator tool to make a residual plot.

Question illustration
A
Yes, the points have no pattern.
B
No, the points are evenly distributed about the x-axis.
C
No, the points are in a linear pattern.
D
Yes, the points are in a curved pattern.
11

The data set represents the number of snails that each person counted on a walk after a rainstorm.12, 13, 22, 16, 6, 10, 13, 14, 12What is the outlier of the data?

A
6
B
11
C
15
D
22
12

The table shows a company’s profit based on the number of pounds of food produced.

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A
$5,150
B
$5,300
C
$10,150
D
$11,000
13

Jace gathered the data in the table. He found the approximate line of best fit to be y = –0.7x + 2.36.

Question illustration
A
–3.14
B
–0.86
C
0.86
D
3.14
14

Which best describes the strength of the model with an r-value of –0.93?

A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
15

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza. Which dot plot could represent the same data as the frequency table?

Question illustration
A
A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 39, 44. There are 2 dots above 31, 35, 36, 38. There are 3 dots above 41.
Option A
B
A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 44. There are 2 dots above 30, 35, 38. There are 3 dots above 32, 40.
Option B
C
A number line going from 25 to 45. There is 1 dot above 26, 31, 33, 34, 41, 44. There are 2 dots above 30, 35, 37. There are 3 dots above 32, 40.
Option C
D
A number line going from 25 to 45. There is 1 dot above 26, 27, 33, 40, 44. There are 2 dots above 29, 30, 32, 35, 38, 45. There are 3 dots above 39.
Option D

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